Primality proof for n = 4975457:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1747.html>1747 is prime.</a>
<br>b^((n-1)/1747)-1 mod n = 3301997, which is a unit, inverse 3640192.
<p><a href=89.html>89 is prime.</a>
<br>b^((n-1)/89)-1 mod n = 4668116, which is a unit, inverse 797003.
<p>(89 * 1747) divides n-1.
<p>(89 * 1747)^2 > n.
<p>n is prime by Pocklington's theorem.